Discussion on clusters, phasons, and quasicrystal stabilisation
C. L. Henley (1), M. de Boissieu (2), and W. Steurer (3) ((1) Cornell, U., Ithaca NY USA; (2) ENSEEG, Grenoble, France; (3) ETH Zurich, Switzerland)

TL;DR
This paper summarizes a discussion on the significance of clusters, phason elasticity, and thermodynamic stabilization in quasicrystals, highlighting ongoing debates and perspectives in the field.
Contribution
It provides a comprehensive overview of expert opinions and written comments on key concepts related to quasicrystal structure and stability.
Findings
Clusters in quasicrystals have debated significance.
Phason elasticity remains a complex topic.
Thermodynamic stabilization mechanisms are discussed.
Abstract
This paper summarises a two-hour discussion at the Ninth International Conference on Quasicrystals, including nearly 20 written comments sent afterwards, concerning (i) the meaning [if any] of clusters in quasicrystals; (ii) phason elasticity, and (iii) thermodynamic stabilisation of quasicrystals.
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